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Global existence for three-dimensional time-fractional Boussinesq-Coriolis equations

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Abstract

The paper is concerned with the three-dimensional Boussinesq-Coriolis equations with Caputo time-fractional derivatives. Specifically, by striking new balances between the dispersion effects of the Coriolis force and the smoothing effects of the Laplacian dissipation involving with a time-fractional evolution mechanism, we obtain the global existence of mild solutions to Cauchy problem of three-dimensional time-fractional Boussinesq-Coriolis equations in Besov spaces.

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Acknowledgements

The authors would like to express sincere thanks to the reviewers for carefully reading the paper and valuable comments. Jinyi Sun’s work is partial supported by the National Natural Science Foundation of China (Grant Nos. 12361050, 12001435), Gansu Province university teachers innovation fund project (Grant No. 2023A-002). Minghua Yang’s work is partial supported by the National Natural Science Foundation of China (Grant No. 12161041), the Training Program for academic and technical leaders of major disciplines in Jiangxi Province (Grant No. 20204BCJL23057).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, Gansu, China

    Jinyi Sun & Chunlan Liu

  2. Department of Mathematics, Jiangxi University of Finance and Economics, Nanchang, 330032, People’s Republic of China

    Minghua Yang

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  1. Jinyi Sun
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Correspondence to Jinyi Sun.

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Sun, J., Liu, C. & Yang, M. Global existence for three-dimensional time-fractional Boussinesq-Coriolis equations. Fract Calc Appl Anal (2024). https://doi.org/10.1007/s13540-024-00272-6

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